I have made a list of all the pets https://docs.google.com/spreadsheet/ccc?key=0Anwxfm9jABocdDItb1N6QlhvbnMzQVVHQWgtOVBnWFE
(looks better in Chrome, than Explorer)
On page one all the pets are sorted after ability sets and on page two sorted after Quality. (Page two, row 138-263 are the uncommen pets. Bold means the "ability set" only comes with the uncommens.) Page three is my own collection, I sort in maaaany ways as I collect. I am trying to get all breeds covered in all the ability-sets. That worked fine until I found that all kind of a battlepet, does not nessesarely come with the same base-stats. Most easyly seen in breed 3/13 of the dragonhawks. So now I need to doublecheck all the pets. Plains Monitor is different from the other Lizards aswell.
EDIT: So now I have updated the first page to include base stats before breed-bonus. I have coloured the ones, that differs from the rest in the ability-set. I have made the squares of the altered base-stats the colour of the one getting better. I hope people easyly can decode it.
(I made a review of all the skins of some types of battlepets too - they are just on Facebook: http://www.facebook.com/media/set/?set=a.10151106511417504.417452.700887503&type=3
I hope some can use this. Sincerly Lisanette